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The Action of One-dimensional Spatial Temperature Modulation on Dynamics of a Floating Droplet Heated from Below 一维空间温度调制对自下而上加热的漂浮液滴动力学的影响
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-03-02 DOI: 10.1007/s12217-024-10103-1
Ilya Simanovskii, Alexander Nepomnyashchy, Antonio Viviani, Patrick Queeckers

The dynamics of a droplet on a liquid substrate in the case of an inhomogeneous heating from below has been investigated. The problem is studied numerically in the framework of the slender droplet approximation and the precursor model. The change of the stationary droplet’s shape and the rupture of the substrate layer induced by a floating droplet are investigated. The influence of the gravity force on the shape of the droplet is studied.

研究了液态基底上的液滴在自下而上不均匀加热情况下的动力学。在细长液滴近似和前驱体模型的框架内对该问题进行了数值研究。研究了静止液滴形状的变化以及浮动液滴引起的基底层破裂。研究了重力对液滴形状的影响。
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引用次数: 0
Controlling a Free Surface With Thermocapillary Flows and Vibrations in Microgravity 在微重力环境下利用热毛细管流动和振动控制自由表面
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-17 DOI: 10.1007/s12217-024-10099-8
Jose Plaza, Dan Gligor, Pablo Salgado Sánchez, Jacobo Rodríguez, Karl Olfe

Fluid manipulation and control is crucial for space exploration. Motivated by the “Thermocapillary-based control of a free surface in microgravity" (ThermoSlosh) experiment (Salgado Sánchez et al. in Acta Astronautica 205:57–67, 2023), we conduct here a detailed numerical analysis of interfacial dynamics in a two-dimensional cylindrical cell, half-filled with different silicone oils or a fluorinert, and subjected to thermal forcing and vibrations. The effect on the free surface dynamics of the applied temperature difference, vibrational amplitude, fluid viscosity, and contact angle is analyzed; both static and dynamic contact angle models are considered. Results strongly suggest that thermocapillary flows can be used to control the interface orientation within the cell, while supplemental vibrations can be added to increase the system responsiveness. This control can be further improved by using classical proportional-integral-derivative feedback to adjust the cell boundary temperatures in real-time. The proportional and derivative gains of the controller can be selected to optimize the stabilization time and/or energy cost, while the integral contribution is effective in reducing the steady-state error. Overall, the present analysis highlights the potential of using the thermocapillary effect for fluid management in reduced gravity, and evaluates different types of experimental tests that can be executed in the frame of the ThermoSlosh microgravity project.

流体操纵和控制对于太空探索至关重要。受 "基于热毛细管的微重力自由表面控制"(ThermoSlosh)实验(Salgado Sánchez 等人,发表于 Acta Astronautica 205:57-67, 2023)的启发,我们在此对一个二维圆柱形单元中的界面动力学进行了详细的数值分析,该单元一半充满了不同的硅油或氟惰性气体,并受到热强迫和振动的影响。分析了外加温差、振动幅度、流体粘度和接触角对自由表面动力学的影响;同时考虑了静态和动态接触角模型。结果有力地表明,热毛细管流动可用于控制电池内的界面取向,而补充振动可提高系统的响应速度。通过使用经典的比例-积分-导数反馈来实时调整电池边界温度,可以进一步改进这种控制。可以选择控制器的比例和导数增益来优化稳定时间和/或能量成本,而积分贡献则能有效减少稳态误差。总之,本分析强调了利用热毛细管效应在重力降低情况下进行流体管理的潜力,并评估了可在 ThermoSlosh 微重力项目框架内执行的不同类型的实验测试。
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引用次数: 0
Friction Properties of Journal-bearing-like Conformal Contacts in Microgravity Environment 微重力环境下类似滑动轴承的共形接触的摩擦特性
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-16 DOI: 10.1007/s12217-024-10096-x
Shujia Wan, Bing Han, Li He, Ruiting Tong, Jingyan Wang, Baobao Qiang, Menghe Zhou

Friction is a primary failure mode in micro-nano electromechanical systems due to the high surface-to-volume ratio. Microgravity further complicates this issue in journal-bearing-like conformal contacts by promoting irregular disturbances. This paper aims to gain insights into the anti-friction design of journal-bearing-like devices through molecular dynamics simulation. A molecular dynamics model was proposed and the calculation method of the friction force was derived. In the absence of disturbance, the proposed model was compared with a non-conformal model which unfolded the bearing as a plane, and the influence of initial radial clearance and axis inclination on the friction force was investigated. The results showed that the proposed model could present more accurate friction forces than the non-conformal model. The friction force was inversely proportional to the initial clearance, and the axis inclination could reduce the friction force. Regarding disturbances as the superposition of two vibrations perpendicular to each other, in which case the trajectory of the journal was a Lissajous curve, the effects of frequency, stiffness coefficient, amplitude ratio, and frequency ratio were investigated. The results showed that the average friction force increased with the rising frequency in the range of 0.8 ~ 4.8 GHz, then decreased with the further increase of frequency. The average friction force was lowered when the stiffness coefficient increased from 100N/m to 1000N/m. For two representative frequencies, the average friction force exhibited different trends with the amplitude ratio. Except for the case of 1.25, increasing the frequency ratio could reduce the friction force. It seemed that applying a well-designed Lissajous route was a promising way to reduce friction.

摩擦是微纳机电系统的主要失效模式,因为其表面与体积的比率很高。微重力会产生不规则干扰,从而使类轴颈轴承保形接触中的这一问题更加复杂。本文旨在通过分子动力学模拟深入了解类轴颈轴承装置的防摩擦设计。本文提出了分子动力学模型,并推导了摩擦力的计算方法。在无扰动情况下,将提出的模型与将轴承展开为平面的非共形模型进行了比较,并研究了初始径向游隙和轴倾角对摩擦力的影响。结果表明,与非共形模型相比,所提出的模型能更精确地显示摩擦力。摩擦力与初始间隙成反比,而轴的倾斜度可以减小摩擦力。干扰是两个相互垂直的振动的叠加,在这种情况下,轴颈的轨迹是一条利萨如(Lissajous)曲线,研究了频率、刚度系数、振幅比和频率比的影响。结果表明,在 0.8 ~ 4.8 GHz 范围内,平均摩擦力随着频率的升高而增大,然后随着频率的进一步升高而减小。当刚度系数从 100N/m 增加到 1000N/m 时,平均摩擦力降低。对于两个具有代表性的频率,平均摩擦力随振幅比的变化呈现出不同的趋势。除 1.25 的情况外,频率比的增加会降低摩擦力。由此看来,采用精心设计的利萨如路径是减少摩擦力的一种可行方法。
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引用次数: 0
Profiles of free Surfaces in Revolved Containers Under Microgravity 微重力下旋转容器中自由表面的轮廓
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-15 DOI: 10.1007/s12217-023-10093-6
Shuyang Chen, Li Duan, Wen Li, Shangtong Chen, Qi Kang

Nowadays a propellant residual gauging method based on the thermal response of the tanks’ wall is developed. And the liquid distribution and meniscus height have great effects on the thermal response. Profiles of liquid free surfaces in revolved containers under microgravity are studied through theoretical analysis and numerical simulation in this paper. The analytical formula for the static profile of the liquid surface in the spherical tank is established. It shows that the profile is a section of a circle cut off by the tank wall. For given the geometry of the tank, liquid volume and contact angle, the profile of the free surfaces under microgravity can be obtained by using the Shooting method based on the theoretical model. Numerical simulation is carried out with the Volume of Fluid method, and it is verified that the static profiles at different contact angles and liquid filling rates fit the theoretical descriptions. It is concluded that the meniscus height increases slowly as the filling rate increases, and the smaller the contact angle, the more obvious this trend. Then the theory is extended to the tanks of arbitrary shapes, and the critical position of the profile is derived. Below the critical position the propellant may accumulate in some corners or pits, which makes it unable to be fully utilized. The critical position is related to the shape of the tank and the contact angle. This research is of great value for the prediction of the static profiles of liquid surfaces in tanks and the propellant residual gauging.

如今,一种基于罐壁热反应的推进剂残留测量方法已经问世。液体分布和半月板高度对热响应有很大影响。本文通过理论分析和数值模拟研究了微重力条件下旋转容器中液体自由表面的轮廓。建立了球形容器中液体表面静态剖面的解析公式。结果表明,该剖面是被罐壁截断的圆的截面。在给定水箱几何形状、液体体积和接触角的情况下,可根据理论模型使用射影法获得微重力条件下的自由表面轮廓。利用流体体积法进行了数值模拟,验证了不同接触角和液体填充率下的静态轮廓符合理论描述。结论是,随着填充率的增加,半月板高度缓慢增加,且接触角越小,这种趋势越明显。然后,该理论扩展到任意形状的储罐,并得出了轮廓的临界位置。在临界位置以下,推进剂可能会积聚在一些角落或凹坑中,导致无法充分利用。临界位置与罐体形状和接触角有关。这项研究对于预测储罐中液体表面的静态轮廓和推进剂残留测量具有重要价值。
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引用次数: 0
Stability of One-Dimensional Vertical Flow Through a Porous Domain Under Pumping of a Finite Volume of Impurity 在抽吸有限体积杂质的情况下,一维垂直流经多孔域的稳定性
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-15 DOI: 10.1007/s12217-023-10089-2
Boris S. Maryshev, Lyudmila S. Klimenko, Nikolay V. Kolchanov

The problem of stability of one-dimensional filtration flow in a rectangular domain of porous medium is solved. The flow occurs when a portion of impurity is transported through the region against gravity. It is shown that the instability has an absolute character. A Rayleigh-Taylor instability is observed at the backward front of the concentration pulse. In this case, the observation time is always less than the passage time of the pulse through the domain. A theoretical model is proposed to describe this phenomenon taking into account immobilization and clogging. The influence of the problem parameters on the characteristic time of instability onset is investigated. Comparison of computational results with experimental data has shown the appropriateness of the chosen model. The ways of increasing this time are analyzed. It is shown that only one way to increase the instability time is to significantly reduce the buoyancy force impact. The latter force can be diminish by alteration of the gravity force.

解决了多孔介质矩形域中一维过滤流的稳定性问题。当部分杂质逆重力流过该区域时,就会发生流动。研究表明,不稳定性具有绝对性。在浓度脉冲的后向前沿观察到了瑞利-泰勒不稳定性。在这种情况下,观测时间总是小于脉冲通过区域的时间。在考虑到固定和堵塞的情况下,提出了一个理论模型来描述这种现象。研究了问题参数对不稳定开始的特征时间的影响。计算结果与实验数据的比较表明,所选模型是合适的。分析了增加该时间的方法。结果表明,增加不稳定时间的唯一方法是大幅减少浮力的影响。后一种力可以通过改变重力来减小。
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引用次数: 0
Pressure Drop Predicting Model for Gas and Oil-Based Drilling Fluid Two Phase Flow in Vertical Annulus 垂直环空天然气和石油钻井液两相流压降预测模型
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-24 DOI: 10.1007/s12217-023-10090-9
Bangtang Yin, Tianbao Ding, Xuxin Zhang, Zhiyuan Wang, Baojiang Sun

Blowout is among catastrophic accidents in oil and gas drilling, and it is caused by abnormal pressure resulted from gas kick from reservoir which cannot be prevented due to limits of drilling technology. Accurate prediction of wellbore pressure is an effective method to prevent blowout. Based on electrical capacitance volume tomography (ECVT), the experiments of gas and white oil two-phase flow with viscosity of 16 mPa·s, 23 mPa·s, 26 mPa·s and 39 mPa·s in vertical annulus are carried, and the pressure drop in vertical annulus is tested. Considering the influence of viscosity, modification of the friction loss coefficient and prediction of the pressure gradient in bubble flow, slug flow and churn flow are studied. The prediction accuracy of the modified model is compared with the pressure gradient model established in the Caetano’s experiment (air-kerosene, ID 42.2 mm and OD 76.2 mm). The results show that under the Caetano’s experimental conditions and the experimental conditions of this experiment, the maximum error and the prediction mean absolute error of the pressure gradient model with the corrected friction loss coefficient are lower than those of Caetano’s model.

井喷是石油和天然气钻井中的灾难性事故之一,它是由储层中的气窜导致的异常压力引起的,由于钻井技术的限制,这种异常压力是无法预防的。准确预测井筒压力是预防井喷的有效方法。基于电容体积层析成像(ECVT)技术,对垂直环空中粘度分别为 16 mPa-s、23 mPa-s、26 mPa-s 和 39 mPa-s 的天然气和白油两相流进行了实验,并测试了垂直环空中的压降。考虑到粘度的影响,研究了气泡流、蛞蝓流和搅动流中摩擦损失系数的修正和压力梯度的预测。将修改后模型的预测精度与卡埃塔诺实验(空气-煤油,内径 42.2 毫米,外径 76.2 毫米)中建立的压力梯度模型进行了比较。结果表明,在 Caetano 的实验条件和本实验条件下,修正了摩擦损失系数的压力梯度模型的最大误差和预测平均绝对误差均低于 Caetano 模型。
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引用次数: 0
Dissipation Behaviors of Vibrated Granular Balls in Different Gravity Environments 不同重力环境下振动颗粒球的耗散行为
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-24 DOI: 10.1007/s12217-024-10097-w
Kai Zhang, Meng Chen, Farong Kou, Wenzhe Li

The dissipation behavior of granular balls in a quasi-2D closed container subjected to vertical vibration is studied by means of discrete element method in this paper. Four universal granular phases playing high damping effect are finalized by simulating the gravity environments of Earth, Mars and Moon, respectively. Based on the commonality of dense granular clusters in the four high damping granular phases, the ideal dissipation behavior of granular balls in the quasi-2D closed container is indicated. Moreover, the optimal damping mechanism of granular balls in the quasi-2D vibrated closed container is further revealed by analyzing the differences of kinetic energy and potential energy of vibrated granular balls in the three different gravity environments. This study lays a foundation for maximizing the damping effect of vibrated granular materials with constant mass by controlling their dissipation behavior, which provides a new idea for the universal design of granular damping structures in engineering practice.

本文采用离散元法研究了准二维封闭容器中颗粒球受到垂直振动时的耗散行为。通过分别模拟地球、火星和月球的重力环境,最终确定了四种具有高阻尼效应的通用粒相。基于四种高阻尼颗粒相中致密颗粒团的共性,指出了颗粒球在准二维封闭容器中的理想耗散行为。此外,通过分析振动颗粒球在三种不同重力环境下的动能和势能差异,进一步揭示了颗粒球在准二维振动封闭容器中的最佳阻尼机制。该研究为通过控制质量恒定的振动颗粒材料的耗散行为最大化其阻尼效果奠定了基础,为工程实践中颗粒阻尼结构的通用设计提供了新思路。
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引用次数: 0
Phase Separation through Screen Channel Liquid Acquisition Devices in Microgravity 在微重力条件下通过筛道液体采集装置进行相分离
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-22 DOI: 10.1007/s12217-023-10085-6
Prithvi Shukla, Michael E. Dreyer

To enable future deep space exploration, orbital refueling of spacecraft is essential. However, transferring liquid in a microgravity environment is a complex process dependent on various factors. One of the basic and critical tasks is to separate phases to allow the supply of gas-free liquid from one tank to another. For this purpose, a liquid acquisition device is essential. In this work, a screen channel liquid acquisition device was designed and used to investigate phase separation and liquid removal from an experiment tank in a microgravity environment. The experiments were performed using the drop tower facility at the University of Bremen, with HFE-7500 as the test liquid under isothermal conditions. This investigation explored the interdependent effects of various phenomena, including the reorientation of liquid in the tank, capillary rise between parallel plates, flow through screen pressure variation, and bubble point breakthrough. Under subcritical conditions, the SC-LAD was found to supply gas-free liquid at the outlet, as long as the pressure drop across the screen was lower than the bubble point threshold. At the critical point, the screen started to ingest bubbles, resulting in a sharp peak in the differential pressure signal. The wetted area of the screen was obtained by analyzing images captured with a high-speed camera and used to calculate the analytical pressure drop. The experimental results were compared with the analytical solution and discussed in detail.

为了实现未来的深空探索,航天器的轨道燃料补充至关重要。然而,在微重力环境中传输液体是一个复杂的过程,取决于各种因素。其中一项基本而关键的任务是分离各个阶段,以便将无气液体从一个储液罐输送到另一个储液罐。为此,液体采集装置必不可少。在这项工作中,设计了一个筛道液体采集装置,用于研究微重力环境下的相分离和实验槽的液体清除。实验利用不来梅大学的落塔设施进行,在等温条件下使用 HFE-7500 作为测试液体。这项研究探索了各种现象的相互影响,包括槽中液体的重新定向、平行板之间的毛细管上升、流经滤网的压力变化以及气泡点突破。研究发现,在次临界条件下,只要通过滤网的压降低于气泡点临界值,SC-LAD 就能在出口处提供无气液体。在临界点,滤网开始吸入气泡,导致压差信号出现尖锐峰值。通过分析高速摄像机捕捉到的图像,可以获得滤网的润湿面积,并用于计算分析压降。实验结果与分析解决方案进行了比较和详细讨论。
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引用次数: 0
Collision Behaviors of Two Successive Compound Droplets in an Abrupt Expansion Microchannel 突然膨胀微通道中两个连续复合液滴的碰撞行为
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-20 DOI: 10.1007/s12217-023-10095-4
Nang X. Ho, Hung V. Vu, Truong V. Vu

In the present paper, merging of two successive compound droplets in an abrupt expansion microchannel using direct numerical simulations is presented. The compound droplets undergo deformation and velocity decreases when entering the expansion region. Their interaction behaviors are divided into two modes of merging and non-merging. These two modes are dominated, and influenced by fluid dynamic parameters, compound droplets’ center distance, the expansion ratio of microchannels and the size of compound droplets, which are analyzed through the results of numerical simulation. The capillary number, the fluid viscosity, and the droplets’ distance increase lead to the merging time of the droplets increases. Although increasing the inner interfacial tension does not significantly affect the merging time of two outer droplets, it significantly reduces the merging time of two inner droplets. Meanwhile, varying the expansion ratio and the droplet size results in the transition between the two interaction modes. Two diagrams for the mode transition, based on the capillary number, the droplet center separation, and the droplet size are also given.

本文采用直接数值模拟的方法,介绍了两个连续的复合液滴在突然膨胀的微通道中的合并情况。复合液滴在进入膨胀区时发生变形,速度降低。它们的相互作用行为分为合并和不合并两种模式。这两种模式占主导地位,并受流体动力学参数、复合液滴中心距、微通道膨胀比和复合液滴大小的影响。毛细管数、流体粘度和液滴距离的增加会导致液滴合并时间延长。虽然增加内界面张力对两个外液滴的合并时间影响不大,但却能显著缩短两个内液滴的合并时间。同时,改变膨胀比和液滴大小会导致两种相互作用模式之间的转换。此外,还给出了基于毛细管数、液滴中心分离度和液滴大小的两种模式转换图。
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引用次数: 0
Research on Ground Microgravity Simulation System Based on Parallel Mechanism 基于并行机制的地面微重力模拟系统研究
IF 1.8 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-20 DOI: 10.1007/s12217-023-10094-5

Abstract

This paper presents a reconfigurable satellite ground microgravity simulation system based on a parallel mechanism, which allows cxsfor adjustable gravity coefficients and can simulate three-dimensional space movement with fast response and high accuracy. Firstly, the parallel motion platform and parallel six-dimensional force sensor designed specifically for the microgravity simulation system serve as the mechanical structure of the system. Secondly, a control system for simulating microgravity has been proposed, which includes a data acquisition component and a motion control component. Thirdly, a novel microgravity simulation algorithm, which can adjust the gravity coefficient and is based on the constant variation method, was proposed to establish the mapping relationship between the six-dimensional external force and displacement. Finally, the six-dimensional force sensor is statically calibrated and demonstrated excellent measurement performance. After implementing gravity compensation through surface polynomial fitting, the motion platform for microgravity simulation can react within 0.15 s upon detection of a force signal by the sensor, with a response error of less than 3%. The ground microgravity simulation system based on parallel mechanisms has been successfully applied to test the tolerance capability of reconfigurable satellite docking interfaces.

摘要 本文提出了一种基于并联机构的可重构卫星地面微重力仿真系统,该系统可实现重力系数的cxs可调,并能以快速响应和高精度模拟三维空间运动。首先,专为微重力模拟系统设计的平行运动平台和平行六维力传感器是该系统的机械结构。其次,提出了模拟微重力的控制系统,包括数据采集组件和运动控制组件。第三,提出了一种可调节重力系数的新型微重力模拟算法,该算法基于恒定变化法,建立了六维外力与位移之间的映射关系。最后,对六维力传感器进行了静态校准,并展示了出色的测量性能。通过表面多项式拟合实现重力补偿后,用于微重力模拟的运动平台可在传感器检测到力信号后的 0.15 秒内做出反应,响应误差小于 3%。基于并联机构的地面微重力模拟系统已成功应用于测试可重构卫星对接界面的耐受能力。
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引用次数: 0
期刊
Microgravity Science and Technology
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